I personally would go with the 6870 for Skyrim on highest settings on medium-high res.
But if you can afford the $250, go for the 560 Ti. It's a lot quieter and pretty much the same as the 6950. Post the rest of your specs so that your CPU isn't bottlenecking your GPU. Tell us what settings you would want to play on with the res.
AS Rock Z68 Extreme 3 Gen 3
Corsair Vengence 8GB
Zalman CNPS9500 AT Heat Sink
Corsair Enthusiast 650W PS
I can afford the $250. Ive read the MSI GTX 560 Ti is a good card as well. Any thoughts? Regarding settings - I have no idea what to play with, I'm kinda new to this. Haha. Sorry. But I will be playing on a 42inch plasma TV.